725594112000 has 768 divisors, whose sum is σ = 2716577791200. Its totient is φ = 193491763200.

The previous prime is 725594111927. The next prime is 725594112037. The reversal of 725594112000 is 211495527.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

725594112000 is a `hidden beast` number, since 72 + 559 + 4 + 11 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145118822398 + ... + 145118822402.

Almost surely, 2^725594112000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725594112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358288895600).

725594112000 is an abundant number, since it is smaller than the sum of its proper divisors (1990983679200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725594112000 is an frugal number, since it uses more digits than its factorization.

725594112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 725594112000 in words is "seven hundred twenty-five billion, five hundred ninety-four million, one hundred twelve thousand".